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110211110020 = 22511245541781
BaseRepresentation
bin110011010100100011…
…0000001010010000100
3101112110210122110212201
41212221012001102010
53301203021010040
6122344050324244
710651063656364
oct1465106012204
9345423573781
10110211110020
1142816331200
1219439589684
13a51517408b
1454972589a4
152d008e8a9a
hex19a9181484

110211110020 has 36 divisors (see below), whose sum is σ = 254396394252. Its totient is φ = 40076766400.

The previous prime is 110211109999. The next prime is 110211110027. The reversal of 110211110020 is 20011112011.

It can be written as a sum of positive squares in 2 ways, for example, as 19063877184 + 91147232836 = 138072^2 + 301906^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110211109979 and 110211110006.

It is not an unprimeable number, because it can be changed into a prime (110211110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22768471 + ... + 22773310.

It is an arithmetic number, because the mean of its divisors is an integer number (7066566507).

Almost surely, 2110211110020 is an apocalyptic number.

110211110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211110020 is an abundant number, since it is smaller than the sum of its proper divisors (144185284232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110211110020 is a wasteful number, since it uses less digits than its factorization.

110211110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45541812 (or 45541799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110211110020 its reverse (20011112011), we get a palindrome (130222222031).

The spelling of 110211110020 in words is "one hundred ten billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 45541781 91083562 182167124 227708905 455417810 500959591 910835620 1001919182 2003838364 2504797955 5009595910 5510555501 10019191820 11021111002 22042222004 27552777505 55105555010 110211110020